## A certain customer at a health food store purchases organic bananas at a price of $0.7 each, and conventional bananas at ##### This topic has expert replies Moderator Posts: 2021 Joined: 15 Oct 2017 Followed by:6 members ### A certain customer at a health food store purchases organic bananas at a price of$0.7 each, and conventional bananas at

by BTGmoderatorLU » Wed Jun 09, 2021 6:02 am

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Source: Veritas Prep

A certain customer at a health food store purchased organic bananas at a price of $0.7 each, and conventional bananas at a price of$0.6 each. How many total bananas did the customer purchase, if he purchased both organic and conventional bananas?

1) In total, the customer spent $5.6 on bananas 2) The customer purchased conventional and organic bananas in the ratio of 7:2 respectively The OA is A ### GMAT/MBA Expert GMAT Instructor Posts: 2615 Joined: 02 Jun 2008 Location: Toronto Thanked: 1090 times Followed by:355 members GMAT Score:780 ### Re: A certain customer at a health food store purchases organic bananas at a price of$0.7 each, and conventional banana

by Ian Stewart » Thu Jun 10, 2021 5:00 am

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If the person bought x organic and y conventional bananas, he spent 70x + 60y cents. From Statement 1, we know 70x + 60y = 560, so 7x + 6y = 56. Here 7x and 56 are both divisible by 7, so 6y must be too (if it's not clear why, we can rewrite the equation 6y = 56 - 7x, and now since the right side is clearly divisible by 7, the left must be also), and y must be 7 (if y were 14 or larger, 7x + 6y would be bigger than 56). If we can find y, we can find x and answer the question, so Statement 1 is sufficient. Statement 2 is clearly insufficient alone, so the answer is A.
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